Bifurcations of solutions of the 2-dimensional Navier-Stokes system

Dong Li; Yakov G. Sinai

doi:10.1007/978-3-642-28821-0_10

Bifurcations of solutions of the 2-dimensional Navier-Stokes system

Dong Li, Yakov G. Sinai

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3 Scopus citations

Abstract

For the 2-dimensional Navier-Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.

Original language	English (US)
Title of host publication	Essays in Mathematics and its Applications
Subtitle of host publication	In Honor of Stephen Smale´s 80th Birthday
Publisher	Springer Berlin Heidelberg
Pages	241-269
Number of pages	29
ISBN (Electronic)	9783642288210
ISBN (Print)	9783642288203
DOIs	https://doi.org/10.1007/978-3-642-28821-0_10
State	Published - Jan 1 2012

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/978-3-642-28821-0_10

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abstract = "For the 2-dimensional Navier-Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.",

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AB - For the 2-dimensional Navier-Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.

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Bifurcations of solutions of the 2-dimensional Navier-Stokes system

Abstract

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